Eger \( F\left(\frac{1}{2}\right)=2 \) bolsa, \( f(x)=\frac{3}{(2-5 x)^{3}} \)

June 2018 ZIMSEC Paper 1 Solve the equations: \( e^{2 x}=4 e^{2-x} \) giving the answer in exact form. November 2010 ZIMSEC Paper 1

احسب التكامل لـ \( \frac{4x^3 - 7x + 5}{2x + 1} dx \) من خلال تطبيق طريقة القسمة الطويلة.

Residues at Poles = Proof the Theorem Assume \( f(z) \) has the following form \[ f(z)=\frac{\phi(z)}{\left(z-z_{0}\right)^{m}} \] where \( \varphi(\mathrm{z}) \) is analytic and nonzero at \( \mathrm{z}_{0} \), then it has Taylor series representation

Calcule a integral definida \( \int_{0}^{3} (2x^2 + 4) \, dx \).

3.3. \( \int \frac{x-1}{\left(x^{2}+1\right)(x+1)} d x \)